z^2+z^2-35=0

Solution for z^2+z^2-35=0 equation:

Simplifying
z2 + z2 + -35 = 0

Reorder the terms:
-35 + z2 + z2 = 0

Combine like terms: z2 + z2 = 2z2
-35 + 2z2 = 0

Solving
-35 + 2z2 = 0

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '35' to each side of the equation.
-35 + 35 + 2z2 = 0 + 35

Combine like terms: -35 + 35 = 0
0 + 2z2 = 0 + 35
2z2 = 0 + 35

Combine like terms: 0 + 35 = 35
2z2 = 35

Divide each side by '2'.
z2 = 17.5

Simplifying
z2 = 17.5

Take the square root of each side:
z = {-4.183300133, 4.183300133}